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year, a survey was c indicated that they would vote for the incumbent. This month, Victoria C mayor. to determine the degree of support for the Mayor of New Orleans. of a random sample of 1,242 voters ithe New Oleanseea 54% hustz took a random sample of 1,218 voters in the same area and found that only 42%of them ร pport the 1. Last year 2. This sonth 1,218 Can we infer that the mayors popularity has decreased by (i) Alternatives Select one: H,: rt,-m2 < 0.1 O None of the other four Select one 2.00 O 1.645 1.00 2.200 2.510 Local to e
(ii) T est statistic Select on O zu 1.645 - 1.00 2.200 O2.510 - 1.500 (ii) p-value Select one: O 0.1113 O 0.1587 0.0500 0.0273 O None of the other four (iv) What is the conclusion if the level of significance is a-0.05 Select one: o conclude Ho that the mayors popularity has decreased by more rnan 10% since the last year. o conclude H1 that the mayors popularity has decreased by more than 10% since the last year. conclude Ho that the mayors popularity has NOT decreased by more than 10% since the last year o conclude H1 that the mayors popularity has NOT decreased by more than 10% since the last year O None of the other four
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Answer #1

1)
Hypothesis
option A)
ii)
TS = ((0.54 - 0.42) - 0.1 ) / sqrt( 0.54 * 0.46 /1242 + 0.42 *0.58 /1218)
= 1
option B) 1

iii)
p-value =
P(Z > 1) = 0.1587
option b)

iv)
since p-value > 0.05
we fail to reject the null hypothesis
option C)

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